Polynomials and Their Properties

This lesson covers the definition of polynomials and their degrees. It explains how to divide a polynomial by another polynomial of lesser degree and introduces the remainder theorem. Additionally, it discusses how to find factors of polynomials and solve cubic equations using their roots.

• 00:49 “Now, let's define what polinomia is. An expression of the form a, n, x, roots of power n plus a, n minus 1, x, roots of power n minus 1 plus. Obviously, when you have a, x squared, a, 2, x squared plus a, 1, x plus a, kn...”
• 03:14 “So, and the highest power here is 4. Then also, the following are not polinomia. So, whenever you have f of x equals square root of 3 x plus 4 minus 2 x plus 2, is not in polinomia. So, when you have a fraction, polinomi...”
• 04:02 “meaning that if you have for example, if you have the polinomia of this form, let's say we have x plus 2 x plus 3 is also in polinomia, because you know we have our h is not so hot, our h is not equal to 0. And if you ha...”